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Finding the Fourth Proportional to 2,533.61, 3,795.32 and 1,215.54

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Solution

The fourth proportional to 2,533.61, 3,795.32 and 1,215.54 is: 1,820.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.61 : 3,795.32 = 1,215.54 : x
  2. Step 2: Convert to fraction form
    2,533.61/3,795.32 = 1,215.54/x
  3. Step 3: Cross multiply
    2,533.61x = 3,795.32 × 1,215.54
  4. Step 4: Simplify right side
    2,533.61x = 4,613,366.31
  5. Step 5: Solve for x
    x = 4,613,366.31/2,533.61
  6. Step 6: Final answer
    x = 1,820.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.